112828138201 has 9 divisors (see below), whose sum is σ = 113355595999. Its totient is φ = 112303128064.

The previous prime is 112828138183. The next prime is 112828138279. The reversal of 112828138201 is 102831828211.

The square root of 112828138201 is 335899.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 111078891225 + 1749246976 = 333285^2 + 41824^2 .

It is not a de Polignac number, because 112828138201 - 2²³ = 112819749593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112828138301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 86325390 + ... + 86326696.

Almost surely, 2^112828138201 is an apocalyptic number.

112828138201 is the 335899-th square number.

112828138201 is the 167950-th centered octagonal number.

It is an amenable number.

112828138201 is a deficient number, since it is larger than the sum of its proper divisors (527457798).

112828138201 is an frugal number, since it uses more digits than its factorization.

112828138201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 37.

The spelling of 112828138201 in words is "one hundred twelve billion, eight hundred twenty-eight million, one hundred thirty-eight thousand, two hundred one".